Question

Simplify each expression. Write answers with only positive exponents. Assume that all variables represent positive real numbers.

Answer 1

Explanation:

Remember that r = r^1.

r^-1/2(r + r^3/2)

Distribute the r^-1/2 to both terms:

r^-1/2 * r^1 + r^-1/2 * r^3/2

When we multiply the same bases together, we add the exponents!

r^1/2 + r^1

Simplify:

r^1/2 + r